Atkin-Lehner |
2- 3- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57408cv |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
570405888 = 210 · 34 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 3- 0 2 2 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1373,-20013] |
[a1,a2,a3,a4,a6] |
Generators |
[43:48:1] |
Generators of the group modulo torsion |
j |
279738112000/557037 |
j-invariant |
L |
8.3234069676005 |
L(r)(E,1)/r! |
Ω |
0.78434569644598 |
Real period |
R |
2.6529778276471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000089 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408m1 14352d1 |
Quadratic twists by: -4 8 |